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191403

The Farey sequence as a model for musical rhythm and meter

Georg Boenn

pp. 83-112

Abstract

In this chapter, we will see that musical rhythms and metrical hierarchies can be represented by integer ratios. In fact, Western notation practice is to a large extent based on this principle. Note events fit into this framework by alignment with discrete onset times on a metrical grid structure. This metrical grid and the rhythms can be described by filtered Farey Sequences.

Publication details

Published in:

Boenn Georg (2018) Computational models of rhythm and meter. Dordrecht, Springer.

Pages: 83-112

DOI: 10.1007/978-3-319-76285-2_7

Full citation:

Boenn Georg (2018) The Farey sequence as a model for musical rhythm and meter, In: Computational models of rhythm and meter, Dordrecht, Springer, 83–112.